9949206758400 has 2112 divisors, whose sum is σ = 45194867343360. Its totient is φ = 2088596275200.

The previous prime is 9949206758399. The next prime is 9949206758417. The reversal of 9949206758400 is 48576029499.

9949206758400 is a `hidden beast` number, since 9 + 9 + 49 + 2 + 0 + 6 + 7 + 584 + 0 + 0 = 666.

It is a super-3 number, since 3×9949206758400³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23084006185 + ... + 23084006615.

Almost surely, 2^{9949206758400} is an apocalyptic number.

9949206758400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9949206758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22597433671680).

9949206758400 is an abundant number, since it is smaller than the sum of its proper divisors (35245660584960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9949206758400 is a wasteful number, since it uses less digits than its factorization.

9949206758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 9949206758400 in words is "nine trillion, nine hundred forty-nine billion, two hundred six million, seven hundred fifty-eight thousand, four hundred".